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Finding the Third Proportional to 3,005,138 and 6,682,180

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Solution

The third proportional to 3,005,138 and 6,682,180 is: 14,858,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005,138 : 6,682,180 = 6,682,180 : x
  2. Step 2: Convert to fraction form
    3,005,138/6,682,180 = 6,682,180/x
  3. Step 3: Cross multiply
    3,005,138x = 6,682,180 × 6,682,180
  4. Step 4: Simplify right side
    3,005,138x = 44,651,529,552,400
  5. Step 5: Solve for x
    x = 44,651,529,552,400/3,005,138
  6. Step 6: Final answer
    x = 14,858,395.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.